30 POINTS!!! ALGEBRA 1 PLEASE HELP!!! BRAINLIEST IF CORRECT!!!

Mathematics

1 answer:

crimeas [40]4 years ago

7 0

Answer:

Step-by-step explanation:

The largest population: Cherokee → 310,000

The smallest population: Choctaw → 80,000

The difference: 310,000 - 80,000 = 230,000

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What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)

wolverine [178]

Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)

then the vertex in quadratnt II is (-x,y)

base of the rectangle = 2x

height of the rectangle = y

Area = xy

= x(12 - x²)

= -x³ + 12x

d(area)/dx = 3x² - 12 = 0 for a maximum of area

3x² = 12

x² = 4

x = ±2

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

7 0

3 years ago

A customer deposits $500 in an account that pays 5% annual interest.

skelet666 [1.2K]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=500(1.05)^3\implies A\approx 578.81$